Two friends race against each other in 100-meter and 800-meter races. Of the 200 races they ran this year, the wins, losses, and ties are shown below.



100 meter (Event D)

800 meter (Event E)

A won the race (Event A) 30 50
B won the race (Event B) 60 25
A and B tied (Event T) 10 25

What percentage of all the races are ties?

If someone wins the race today, is it more likely for A to win or B to win? How much more likely?
show your work.

Respuesta :

Answer:

17.5%

B is more likely to win, by a probability of 0.025 (2.5% chance)

Step-by-step explanation:

Total races:

100m : 30+60+10 = 100

800m : 50+25+25 = 100

Tied: 10+25 = 35

% of ties:

35/200 × 100

= 17.5%

P(A winning) = (30+50)/200 = 0.4

P(B winning) = (60+25)/200 = 0.425

Difference:

0.425 - 0.4 = 0.025